CAJ | 학술논문

研究同时具有耦合时延和节点时延复杂网络的自适应周期间歇同步控制问题.运用 Lyapunov 稳定性理论,自适应控制、牵制控制和间歇控制方法,给出保证该时延复杂网络全局指数同步、且保守性更小的判定准则,并给出相应的自适应和牵制自适应间歇同步控制器设计,该控制策略对节点间的耦合强度和网络的拓扑结构等具有较强的鲁棒性.最后以时延非线性动力系统为节点对复杂网络进行数值仿真,验证了结论的正确性和有效性.
연구동시구유우합시연화절점시연복잡망락적자괄응주기간헐동보공제문제.운용 Lyapunov 은정성이론,자괄응공제、견제공제화간헐공제방법,급출보증해시연복잡망락전국지수동보、차보수성경소적판정준칙,병급출상응적자괄응화견제자괄응간헐동보공제기설계,해공제책략대절점간적우합강도화망락적탁복결구등구유교강적로봉성.최후이시연비선성동력계통위절점대복잡망락진행수치방진,험증료결론적정학성화유효성.
This paper investigates the synchronization problem for a class of general complex dynamical networks with couplings delays and delays in the dynamical nodes by adaptive periodically intermittent control. Based on a general model of delayed complex networks, by using the Lyapunov stability theory combined with the method of the adaptive control, pinning control and periodically intermittent control, some less conservative criteria are derived for the global exponential synchronization of the delayed complex networks. And several corresponding adaptive feedback synchronization controllers and pinning controllers are designed respectively. These controllers have strong robustness against the coupling strength and the topological structure of the network. Finally, using the delayed nonlinear system as the nodes of the networks, the numerical example of the delayed complex networks is given to demonstrate the effectiveness and correctness of the control strategy.